Multiscale analysis-based peridynamic simulation of fracture in porous media

Abstract

The simulation of fracture in large-scale structures made of porous media remains a challenging task. Current techniques either assume a homogeneous model, disregarding the microstructure characteristics, or adopt a micro-mechanical model, which incurs an intractable computational cost due to its complex stochastic geometry and physical properties, as well as its nonlinear and multiscale features. In this study, we propose a multiscale analysis-based dual-variable-horizon peridynamics (PD) model to efficiently simulate macroscopic structural fracture. The influence of microstructures in porous media on macroscopic structural failure is represented by two PD parameters: the equivalent critical stretch and micro-modulus. The equivalent critical stretch is calculated using the microscale PD model, while the equivalent micro-modulus is obtained through the homogenization method and energy density equivalence between classical continuum mechanics and PD models. Numerical examples of porous media with various microstructures demonstrate the validity, accuracy, and efficiency of the proposed method.

Graphical abstract

Keywords

porous media / multiscale / variable-horizon peridynamic / equivalent critical stretch / equivalent micro-modulus

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Acknowledgements

This research was supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (No. XDC06030102), the Natural Science Foundation of Chongqing (No. CSTB2022NSCQ-MSX0296), the National Natural Science Foundation of China (Grant No. 12271409), the Natural Science Foundation of Shanghai (No. 21ZR1465800), and the Interdisciplinary Project in Ocean Research of Tongji University and the Fundamental Research Funds for the Central Universities.

Competing interests

The authors declare that they have no competing interests.

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2024 Higher Education Press